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source: palm/trunk/SOURCE/boundary_conds.f90 @ 1116

Last change on this file since 1116 was 1116, checked in by hoffmann, 12 years ago
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[1113]	1	SUBROUTINE boundary_conds
[1]	2
[1036]	3	!--------------------------------------------------------------------------------!
	4	! This file is part of PALM.
	5	!
	6	! PALM is free software: you can redistribute it and/or modify it under the terms
	7	! of the GNU General Public License as published by the Free Software Foundation,
	8	! either version 3 of the License, or (at your option) any later version.
	9	!
	10	! PALM is distributed in the hope that it will be useful, but WITHOUT ANY
	11	! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
	12	! A PARTICULAR PURPOSE. See the GNU General Public License for more details.
	13	!
	14	! You should have received a copy of the GNU General Public License along with
	15	! PALM. If not, see <http://www.gnu.org/licenses/>.
	16	!
	17	! Copyright 1997-2012 Leibniz University Hannover
	18	!--------------------------------------------------------------------------------!
	19	!
[484]	20	! Current revisions:
[1]	21	! -----------------
[1116]	22	!
[667]	23	!
[1]	24	! Former revisions:
	25	! -----------------
[3]	26	! $Id: boundary_conds.f90 1116 2013-03-26 18:49:55Z hoffmann $
[39]	27	!
[1116]	28	! 1115 2013-03-26 18:16:16Z hoffmann
	29	! boundary conditions of two-moment cloud scheme are restricted to Neumann-
	30	! boundary-conditions
	31	!
[1114]	32	! 1113 2013-03-10 02:48:14Z raasch
	33	! GPU-porting
	34	! dummy argument "range" removed
	35	! Bugfix: wrong index in loops of radiation boundary condition
[1113]	36	!
[1054]	37	! 1053 2012-11-13 17:11:03Z hoffmann
	38	! boundary conditions for the two new prognostic equations (nr, qr) of the
	39	! two-moment cloud scheme
	40	!
[1037]	41	! 1036 2012-10-22 13:43:42Z raasch
	42	! code put under GPL (PALM 3.9)
	43	!
[997]	44	! 996 2012-09-07 10:41:47Z raasch
	45	! little reformatting
	46	!
[979]	47	! 978 2012-08-09 08:28:32Z fricke
	48	! Neumann boudnary conditions are added at the inflow boundary for the SGS-TKE.
	49	! Outflow boundary conditions for the velocity components can be set to Neumann
	50	! conditions or to radiation conditions with a horizontal averaged phase
	51	! velocity.
	52	!
[876]	53	! 875 2012-04-02 15:35:15Z gryschka
	54	! Bugfix in case of dirichlet inflow bc at the right or north boundary
	55	!
[768]	56	! 767 2011-10-14 06:39:12Z raasch
	57	! ug,vg replaced by u_init,v_init as the Dirichlet top boundary condition
	58	!
[668]	59	! 667 2010-12-23 12:06:00Z suehring/gryschka
	60	! nxl-1, nxr+1, nys-1, nyn+1 replaced by nxlg, nxrg, nysg, nyng
	61	! Removed mirror boundary conditions for u and v at the bottom in case of
	62	! ibc_uv_b == 0. Instead, dirichelt boundary conditions (u=v=0) are set
	63	! in init_3d_model
	64	!
[110]	65	! 107 2007-08-17 13:54:45Z raasch
	66	! Boundary conditions for temperature adjusted for coupled runs,
	67	! bugfixes for the radiation boundary conditions at the outflow: radiation
	68	! conditions are used for every substep, phase speeds are calculated for the
	69	! first Runge-Kutta substep only and then reused, several index values changed
	70	!
[98]	71	! 95 2007-06-02 16:48:38Z raasch
	72	! Boundary conditions for salinity added
	73	!
[77]	74	! 75 2007-03-22 09:54:05Z raasch
	75	! The "main" part sets conditions for time level t+dt instead of level t,
	76	! outflow boundary conditions changed from Neumann to radiation condition,
	77	! uxrp, vynp eliminated, moisture renamed humidity
	78	!
[39]	79	! 19 2007-02-23 04:53:48Z raasch
	80	! Boundary conditions for e(nzt), pt(nzt), and q(nzt) removed because these
	81	! gridpoints are now calculated by the prognostic equation,
	82	! Dirichlet and zero gradient condition for pt established at top boundary
	83	!
[3]	84	! RCS Log replace by Id keyword, revision history cleaned up
	85	!
[1]	86	! Revision 1.15 2006/02/23 09:54:55 raasch
	87	! Surface boundary conditions in case of topography: nzb replaced by
	88	! 2d-k-index-arrays (nzb_w_inner, etc.). Conditions for u and v remain
	89	! unchanged (still using nzb) because a non-flat topography must use a
	90	! Prandtl-layer, which don't requires explicit setting of the surface values.
	91	!
	92	! Revision 1.1 1997/09/12 06:21:34 raasch
	93	! Initial revision
	94	!
	95	!
	96	! Description:
	97	! ------------
	98	! Boundary conditions for the prognostic quantities (range='main').
	99	! In case of non-cyclic lateral boundaries the conditions for velocities at
	100	! the outflow are set after the pressure solver has been called (range=
	101	! 'outflow_uvw').
	102	! One additional bottom boundary condition is applied for the TKE (=(u)*2)
	103	! in prandtl_fluxes. The cyclic lateral boundary conditions are implicitly
	104	! handled in routine exchange_horiz. Pressure boundary conditions are
	105	! explicitly set in routines pres, poisfft, poismg and sor.
	106	!------------------------------------------------------------------------------!
	107
	108	USE arrays_3d
	109	USE control_parameters
	110	USE grid_variables
	111	USE indices
	112	USE pegrid
	113
	114	IMPLICIT NONE
	115
	116	INTEGER :: i, j, k
	117
[106]	118	REAL :: c_max, denom
[1]	119
[73]	120
[1]	121	!
[1113]	122	!-- Bottom boundary
	123	IF ( ibc_uv_b == 1 ) THEN
	124	!$acc kernels present( u_p, v_p )
	125	u_p(nzb,:,:) = u_p(nzb+1,:,:)
	126	v_p(nzb,:,:) = v_p(nzb+1,:,:)
	127	!$acc end kernels
	128	ENDIF
	129
	130	!$acc kernels present( nzb_w_inner, w_p )
	131	DO i = nxlg, nxrg
	132	DO j = nysg, nyng
	133	w_p(nzb_w_inner(j,i),j,i) = 0.0
	134	ENDDO
	135	ENDDO
	136	!$acc end kernels
	137
	138	!
	139	!-- Top boundary
	140	IF ( ibc_uv_t == 0 ) THEN
	141	!$acc kernels present( u_init, u_p, v_init, v_p )
	142	u_p(nzt+1,:,:) = u_init(nzt+1)
	143	v_p(nzt+1,:,:) = v_init(nzt+1)
	144	!$acc end kernels
	145	ELSE
	146	!$acc kernels present( u_p, v_p )
	147	u_p(nzt+1,:,:) = u_p(nzt,:,:)
	148	v_p(nzt+1,:,:) = v_p(nzt,:,:)
	149	!$acc end kernels
	150	ENDIF
	151	!$acc kernels present( w_p )
	152	w_p(nzt:nzt+1,:,:) = 0.0 ! nzt is not a prognostic level (but cf. pres)
	153	!$acc end kernels
	154
	155	!
	156	!-- Temperature at bottom boundary.
	157	!-- In case of coupled runs (ibc_pt_b = 2) the temperature is given by
	158	!-- the sea surface temperature of the coupled ocean model.
	159	IF ( ibc_pt_b == 0 ) THEN
	160	!$acc kernels present( nzb_s_inner, pt, pt_p )
[667]	161	DO i = nxlg, nxrg
	162	DO j = nysg, nyng
[1113]	163	pt_p(nzb_s_inner(j,i),j,i) = pt(nzb_s_inner(j,i),j,i)
[1]	164	ENDDO
	165	ENDDO
[1113]	166	!$acc end kernels
	167	ELSEIF ( ibc_pt_b == 1 ) THEN
	168	!$acc kernels present( nzb_s_inner, pt_p )
	169	DO i = nxlg, nxrg
	170	DO j = nysg, nyng
	171	pt_p(nzb_s_inner(j,i),j,i) = pt_p(nzb_s_inner(j,i)+1,j,i)
	172	ENDDO
	173	ENDDO
	174	!$acc end kernels
	175	ENDIF
[1]	176
	177	!
[1113]	178	!-- Temperature at top boundary
	179	IF ( ibc_pt_t == 0 ) THEN
	180	!$acc kernels present( pt, pt_p )
	181	pt_p(nzt+1,:,:) = pt(nzt+1,:,:)
	182	!$acc end kernels
	183	ELSEIF ( ibc_pt_t == 1 ) THEN
	184	!$acc kernels present( pt_p )
	185	pt_p(nzt+1,:,:) = pt_p(nzt,:,:)
	186	!$acc end kernels
	187	ELSEIF ( ibc_pt_t == 2 ) THEN
	188	!$acc kernels present( dzu, pt_p )
	189	pt_p(nzt+1,:,:) = pt_p(nzt,:,:) + bc_pt_t_val * dzu(nzt+1)
	190	!$acc end kernels
	191	ENDIF
[1]	192
	193	!
[1113]	194	!-- Boundary conditions for TKE
	195	!-- Generally Neumann conditions with de/dz=0 are assumed
	196	IF ( .NOT. constant_diffusion ) THEN
	197	!$acc kernels present( e_p, nzb_s_inner )
	198	DO i = nxlg, nxrg
	199	DO j = nysg, nyng
	200	e_p(nzb_s_inner(j,i),j,i) = e_p(nzb_s_inner(j,i)+1,j,i)
[73]	201	ENDDO
[1113]	202	ENDDO
	203	e_p(nzt+1,:,:) = e_p(nzt,:,:)
	204	!$acc end kernels
	205	ENDIF
	206
	207	!
	208	!-- Boundary conditions for salinity
	209	IF ( ocean ) THEN
	210	!
	211	!-- Bottom boundary: Neumann condition because salinity flux is always
	212	!-- given
	213	DO i = nxlg, nxrg
	214	DO j = nysg, nyng
	215	sa_p(nzb_s_inner(j,i),j,i) = sa_p(nzb_s_inner(j,i)+1,j,i)
[1]	216	ENDDO
[1113]	217	ENDDO
[1]	218
	219	!
[1113]	220	!-- Top boundary: Dirichlet or Neumann
	221	IF ( ibc_sa_t == 0 ) THEN
	222	sa_p(nzt+1,:,:) = sa(nzt+1,:,:)
	223	ELSEIF ( ibc_sa_t == 1 ) THEN
	224	sa_p(nzt+1,:,:) = sa_p(nzt,:,:)
[1]	225	ENDIF
	226
[1113]	227	ENDIF
	228
[1]	229	!
[1113]	230	!-- Boundary conditions for total water content or scalar,
	231	!-- bottom and top boundary (see also temperature)
	232	IF ( humidity .OR. passive_scalar ) THEN
	233	!
	234	!-- Surface conditions for constant_humidity_flux
	235	IF ( ibc_q_b == 0 ) THEN
[667]	236	DO i = nxlg, nxrg
	237	DO j = nysg, nyng
[1113]	238	q_p(nzb_s_inner(j,i),j,i) = q(nzb_s_inner(j,i),j,i)
[1]	239	ENDDO
	240	ENDDO
[1113]	241	ELSE
[667]	242	DO i = nxlg, nxrg
	243	DO j = nysg, nyng
[1113]	244	q_p(nzb_s_inner(j,i),j,i) = q_p(nzb_s_inner(j,i)+1,j,i)
[95]	245	ENDDO
	246	ENDDO
[1113]	247	ENDIF
[95]	248	!
[1113]	249	!-- Top boundary
	250	q_p(nzt+1,:,:) = q_p(nzt,:,:) + bc_q_t_val * dzu(nzt+1)
[95]	251
[1115]	252	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	253	precipitation ) THEN
[1113]	254	!
[1115]	255	!-- Surface conditions rain water (Neumann)
	256	DO i = nxlg, nxrg
	257	DO j = nysg, nyng
	258	qr_p(nzb_s_inner(j,i),j,i) = qr_p(nzb_s_inner(j,i)+1,j,i)
	259	nr_p(nzb_s_inner(j,i),j,i) = nr_p(nzb_s_inner(j,i)+1,j,i)
[73]	260	ENDDO
[1115]	261	ENDDO
[1]	262	!
[1115]	263	!-- Top boundary condition for rain water (Neumann)
	264	qr_p(nzt+1,:,:) = qr_p(nzt,:,:)
	265	nr_p(nzt+1,:,:) = nr_p(nzt,:,:)
	266
[1]	267	ENDIF
	268	!
[875]	269	!-- In case of inflow at the south boundary the boundary for v is at nys
	270	!-- and in case of inflow at the left boundary the boundary for u is at nxl.
	271	!-- Since in prognostic_equations (cache optimized version) these levels are
	272	!-- handled as a prognostic level, boundary values have to be restored here.
[978]	273	!-- For the SGS-TKE, Neumann boundary conditions are used at the inflow.
[1]	274	IF ( inflow_s ) THEN
[73]	275	v_p(:,nys,:) = v_p(:,nys-1,:)
[978]	276	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
	277	ELSEIF ( inflow_n ) THEN
	278	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1]	279	ELSEIF ( inflow_l ) THEN
[73]	280	u_p(:,:,nxl) = u_p(:,:,nxl-1)
[978]	281	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
	282	ELSEIF ( inflow_r ) THEN
	283	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1]	284	ENDIF
	285
	286	!
	287	!-- Lateral boundary conditions for scalar quantities at the outflow
	288	IF ( outflow_s ) THEN
[73]	289	pt_p(:,nys-1,:) = pt_p(:,nys,:)
	290	IF ( .NOT. constant_diffusion ) e_p(:,nys-1,:) = e_p(:,nys,:)
[1115]	291	IF ( humidity .OR. passive_scalar ) THEN
[1053]	292	q_p(:,nys-1,:) = q_p(:,nys,:)
[1115]	293	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	294	precipitation) THEN
[1053]	295	qr_p(:,nys-1,:) = qr_p(:,nys,:)
	296	nr_p(:,nys-1,:) = nr_p(:,nys,:)
	297	ENDIF
	298	ENDIF
[1]	299	ELSEIF ( outflow_n ) THEN
[73]	300	pt_p(:,nyn+1,:) = pt_p(:,nyn,:)
	301	IF ( .NOT. constant_diffusion ) e_p(:,nyn+1,:) = e_p(:,nyn,:)
[1115]	302	IF ( humidity .OR. passive_scalar ) THEN
[1053]	303	q_p(:,nyn+1,:) = q_p(:,nyn,:)
[1115]	304	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	305	precipitation ) THEN
[1053]	306	qr_p(:,nyn+1,:) = qr_p(:,nyn,:)
	307	nr_p(:,nyn+1,:) = nr_p(:,nyn,:)
	308	ENDIF
	309	ENDIF
[1]	310	ELSEIF ( outflow_l ) THEN
[73]	311	pt_p(:,:,nxl-1) = pt_p(:,:,nxl)
	312	IF ( .NOT. constant_diffusion ) e_p(:,:,nxl-1) = e_p(:,:,nxl)
[1115]	313	IF ( humidity .OR. passive_scalar ) THEN
[1053]	314	q_p(:,:,nxl-1) = q_p(:,:,nxl)
[1115]	315	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. &
	316	precipitation ) THEN
[1053]	317	qr_p(:,:,nxl-1) = qr_p(:,:,nxl)
	318	nr_p(:,:,nxl-1) = nr_p(:,:,nxl)
	319	ENDIF
	320	ENDIF
[1]	321	ELSEIF ( outflow_r ) THEN
[73]	322	pt_p(:,:,nxr+1) = pt_p(:,:,nxr)
	323	IF ( .NOT. constant_diffusion ) e_p(:,:,nxr+1) = e_p(:,:,nxr)
[1053]	324	IF ( humidity .OR. passive_scalar ) THEN
	325	q_p(:,:,nxr+1) = q_p(:,:,nxr)
[1115]	326	IF ( cloud_physics .AND. icloud_scheme == 0 .AND. precipitation ) THEN
[1053]	327	qr_p(:,:,nxr+1) = qr_p(:,:,nxr)
	328	nr_p(:,:,nxr+1) = nr_p(:,:,nxr)
	329	ENDIF
	330	ENDIF
[1]	331	ENDIF
	332
	333	ENDIF
	334
	335	!
[978]	336	!-- Neumann or Radiation boundary condition for the velocities at the
	337	!-- respective outflow
[106]	338	IF ( outflow_s ) THEN
[75]	339
[978]	340	IF ( bc_ns_dirneu ) THEN
	341	u(:,-1,:) = u(:,0,:)
	342	v(:,0,:) = v(:,1,:)
	343	w(:,-1,:) = w(:,0,:)
	344	ELSEIF ( bc_ns_dirrad ) THEN
[75]	345
[978]	346	c_max = dy / dt_3d
[75]	347
[978]	348	c_u_m_l = 0.0
	349	c_v_m_l = 0.0
	350	c_w_m_l = 0.0
	351
	352	c_u_m = 0.0
	353	c_v_m = 0.0
	354	c_w_m = 0.0
	355
[75]	356	!
[996]	357	!-- Calculate the phase speeds for u, v, and w, first local and then
	358	!-- average along the outflow boundary.
	359	DO k = nzb+1, nzt+1
	360	DO i = nxl, nxr
[75]	361
[106]	362	denom = u_m_s(k,0,i) - u_m_s(k,1,i)
	363
	364	IF ( denom /= 0.0 ) THEN
[996]	365	c_u(k,i) = -c_max * ( u(k,0,i) - u_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	366	IF ( c_u(k,i) < 0.0 ) THEN
	367	c_u(k,i) = 0.0
	368	ELSEIF ( c_u(k,i) > c_max ) THEN
	369	c_u(k,i) = c_max
	370	ENDIF
	371	ELSE
	372	c_u(k,i) = c_max
[75]	373	ENDIF
	374
[106]	375	denom = v_m_s(k,1,i) - v_m_s(k,2,i)
	376
	377	IF ( denom /= 0.0 ) THEN
[996]	378	c_v(k,i) = -c_max * ( v(k,1,i) - v_m_s(k,1,i) ) / ( denom * tsc(2) )
[106]	379	IF ( c_v(k,i) < 0.0 ) THEN
	380	c_v(k,i) = 0.0
	381	ELSEIF ( c_v(k,i) > c_max ) THEN
	382	c_v(k,i) = c_max
	383	ENDIF
	384	ELSE
	385	c_v(k,i) = c_max
[75]	386	ENDIF
	387
[106]	388	denom = w_m_s(k,0,i) - w_m_s(k,1,i)
[75]	389
[106]	390	IF ( denom /= 0.0 ) THEN
[996]	391	c_w(k,i) = -c_max * ( w(k,0,i) - w_m_s(k,0,i) ) / ( denom * tsc(2) )
[106]	392	IF ( c_w(k,i) < 0.0 ) THEN
	393	c_w(k,i) = 0.0
	394	ELSEIF ( c_w(k,i) > c_max ) THEN
	395	c_w(k,i) = c_max
	396	ENDIF
	397	ELSE
	398	c_w(k,i) = c_max
[75]	399	ENDIF
[106]	400
[978]	401	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	402	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	403	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	404
[978]	405	ENDDO
	406	ENDDO
[75]	407
[978]	408	#if defined( __parallel )
	409	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	410	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	411	MPI_SUM, comm1dx, ierr )
	412	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	413	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	414	MPI_SUM, comm1dx, ierr )
	415	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	416	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	417	MPI_SUM, comm1dx, ierr )
	418	#else
	419	c_u_m = c_u_m_l
	420	c_v_m = c_v_m_l
	421	c_w_m = c_w_m_l
	422	#endif
	423
	424	c_u_m = c_u_m / (nx+1)
	425	c_v_m = c_v_m / (nx+1)
	426	c_w_m = c_w_m / (nx+1)
	427
[75]	428	!
[978]	429	!-- Save old timelevels for the next timestep
	430	IF ( intermediate_timestep_count == 1 ) THEN
	431	u_m_s(:,:,:) = u(:,0:1,:)
	432	v_m_s(:,:,:) = v(:,1:2,:)
	433	w_m_s(:,:,:) = w(:,0:1,:)
	434	ENDIF
	435
	436	!
	437	!-- Calculate the new velocities
[996]	438	DO k = nzb+1, nzt+1
	439	DO i = nxlg, nxrg
[978]	440	u_p(k,-1,i) = u(k,-1,i) - dt_3d * tsc(2) * c_u_m(k) * &
[75]	441	( u(k,-1,i) - u(k,0,i) ) * ddy
	442
[978]	443	v_p(k,0,i) = v(k,0,i) - dt_3d * tsc(2) * c_v_m(k) * &
[106]	444	( v(k,0,i) - v(k,1,i) ) * ddy
[75]	445
[978]	446	w_p(k,-1,i) = w(k,-1,i) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	447	( w(k,-1,i) - w(k,0,i) ) * ddy
[978]	448	ENDDO
[75]	449	ENDDO
	450
	451	!
[978]	452	!-- Bottom boundary at the outflow
	453	IF ( ibc_uv_b == 0 ) THEN
	454	u_p(nzb,-1,:) = 0.0
	455	v_p(nzb,0,:) = 0.0
	456	ELSE
	457	u_p(nzb,-1,:) = u_p(nzb+1,-1,:)
	458	v_p(nzb,0,:) = v_p(nzb+1,0,:)
	459	ENDIF
	460	w_p(nzb,-1,:) = 0.0
[73]	461
[75]	462	!
[978]	463	!-- Top boundary at the outflow
	464	IF ( ibc_uv_t == 0 ) THEN
	465	u_p(nzt+1,-1,:) = u_init(nzt+1)
	466	v_p(nzt+1,0,:) = v_init(nzt+1)
	467	ELSE
	468	u_p(nzt+1,-1,:) = u(nzt,-1,:)
	469	v_p(nzt+1,0,:) = v(nzt,0,:)
	470	ENDIF
	471	w_p(nzt:nzt+1,-1,:) = 0.0
	472
[75]	473	ENDIF
[73]	474
[75]	475	ENDIF
[73]	476
[106]	477	IF ( outflow_n ) THEN
[73]	478
[978]	479	IF ( bc_ns_neudir ) THEN
	480	u(:,ny+1,:) = u(:,ny,:)
	481	v(:,ny+1,:) = v(:,ny,:)
	482	w(:,ny+1,:) = w(:,ny,:)
	483	ELSEIF ( bc_ns_dirrad ) THEN
[75]	484
[978]	485	c_max = dy / dt_3d
[75]	486
[978]	487	c_u_m_l = 0.0
	488	c_v_m_l = 0.0
	489	c_w_m_l = 0.0
	490
	491	c_u_m = 0.0
	492	c_v_m = 0.0
	493	c_w_m = 0.0
	494
[1]	495	!
[996]	496	!-- Calculate the phase speeds for u, v, and w, first local and then
	497	!-- average along the outflow boundary.
	498	DO k = nzb+1, nzt+1
	499	DO i = nxl, nxr
[73]	500
[106]	501	denom = u_m_n(k,ny,i) - u_m_n(k,ny-1,i)
	502
	503	IF ( denom /= 0.0 ) THEN
[996]	504	c_u(k,i) = -c_max * ( u(k,ny,i) - u_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	505	IF ( c_u(k,i) < 0.0 ) THEN
	506	c_u(k,i) = 0.0
	507	ELSEIF ( c_u(k,i) > c_max ) THEN
	508	c_u(k,i) = c_max
	509	ENDIF
	510	ELSE
	511	c_u(k,i) = c_max
[73]	512	ENDIF
	513
[106]	514	denom = v_m_n(k,ny,i) - v_m_n(k,ny-1,i)
[73]	515
[106]	516	IF ( denom /= 0.0 ) THEN
[996]	517	c_v(k,i) = -c_max * ( v(k,ny,i) - v_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	518	IF ( c_v(k,i) < 0.0 ) THEN
	519	c_v(k,i) = 0.0
	520	ELSEIF ( c_v(k,i) > c_max ) THEN
	521	c_v(k,i) = c_max
	522	ENDIF
	523	ELSE
	524	c_v(k,i) = c_max
[73]	525	ENDIF
	526
[106]	527	denom = w_m_n(k,ny,i) - w_m_n(k,ny-1,i)
[73]	528
[106]	529	IF ( denom /= 0.0 ) THEN
[996]	530	c_w(k,i) = -c_max * ( w(k,ny,i) - w_m_n(k,ny,i) ) / ( denom * tsc(2) )
[106]	531	IF ( c_w(k,i) < 0.0 ) THEN
	532	c_w(k,i) = 0.0
	533	ELSEIF ( c_w(k,i) > c_max ) THEN
	534	c_w(k,i) = c_max
	535	ENDIF
	536	ELSE
	537	c_w(k,i) = c_max
[73]	538	ENDIF
[106]	539
[978]	540	c_u_m_l(k) = c_u_m_l(k) + c_u(k,i)
	541	c_v_m_l(k) = c_v_m_l(k) + c_v(k,i)
	542	c_w_m_l(k) = c_w_m_l(k) + c_w(k,i)
[106]	543
[978]	544	ENDDO
	545	ENDDO
[73]	546
[978]	547	#if defined( __parallel )
	548	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	549	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	550	MPI_SUM, comm1dx, ierr )
	551	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	552	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	553	MPI_SUM, comm1dx, ierr )
	554	IF ( collective_wait ) CALL MPI_BARRIER( comm1dx, ierr )
	555	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	556	MPI_SUM, comm1dx, ierr )
	557	#else
	558	c_u_m = c_u_m_l
	559	c_v_m = c_v_m_l
	560	c_w_m = c_w_m_l
	561	#endif
	562
	563	c_u_m = c_u_m / (nx+1)
	564	c_v_m = c_v_m / (nx+1)
	565	c_w_m = c_w_m / (nx+1)
	566
[73]	567	!
[978]	568	!-- Save old timelevels for the next timestep
	569	IF ( intermediate_timestep_count == 1 ) THEN
	570	u_m_n(:,:,:) = u(:,ny-1:ny,:)
	571	v_m_n(:,:,:) = v(:,ny-1:ny,:)
	572	w_m_n(:,:,:) = w(:,ny-1:ny,:)
	573	ENDIF
[73]	574
[978]	575	!
	576	!-- Calculate the new velocities
[996]	577	DO k = nzb+1, nzt+1
	578	DO i = nxlg, nxrg
[978]	579	u_p(k,ny+1,i) = u(k,ny+1,i) - dt_3d * tsc(2) * c_u_m(k) * &
	580	( u(k,ny+1,i) - u(k,ny,i) ) * ddy
[73]	581
[978]	582	v_p(k,ny+1,i) = v(k,ny+1,i) - dt_3d * tsc(2) * c_v_m(k) * &
	583	( v(k,ny+1,i) - v(k,ny,i) ) * ddy
[73]	584
[978]	585	w_p(k,ny+1,i) = w(k,ny+1,i) - dt_3d * tsc(2) * c_w_m(k) * &
	586	( w(k,ny+1,i) - w(k,ny,i) ) * ddy
	587	ENDDO
[1]	588	ENDDO
	589
	590	!
[978]	591	!-- Bottom boundary at the outflow
	592	IF ( ibc_uv_b == 0 ) THEN
	593	u_p(nzb,ny+1,:) = 0.0
	594	v_p(nzb,ny+1,:) = 0.0
	595	ELSE
	596	u_p(nzb,ny+1,:) = u_p(nzb+1,ny+1,:)
	597	v_p(nzb,ny+1,:) = v_p(nzb+1,ny+1,:)
	598	ENDIF
	599	w_p(nzb,ny+1,:) = 0.0
[73]	600
	601	!
[978]	602	!-- Top boundary at the outflow
	603	IF ( ibc_uv_t == 0 ) THEN
	604	u_p(nzt+1,ny+1,:) = u_init(nzt+1)
	605	v_p(nzt+1,ny+1,:) = v_init(nzt+1)
	606	ELSE
	607	u_p(nzt+1,ny+1,:) = u_p(nzt,nyn+1,:)
	608	v_p(nzt+1,ny+1,:) = v_p(nzt,nyn+1,:)
	609	ENDIF
	610	w_p(nzt:nzt+1,ny+1,:) = 0.0
	611
[1]	612	ENDIF
	613
[75]	614	ENDIF
	615
[106]	616	IF ( outflow_l ) THEN
[75]	617
[978]	618	IF ( bc_lr_neudir ) THEN
	619	u(:,:,-1) = u(:,:,0)
	620	v(:,:,0) = v(:,:,1)
	621	w(:,:,-1) = w(:,:,0)
	622	ELSEIF ( bc_ns_dirrad ) THEN
[75]	623
[978]	624	c_max = dx / dt_3d
[75]	625
[978]	626	c_u_m_l = 0.0
	627	c_v_m_l = 0.0
	628	c_w_m_l = 0.0
	629
	630	c_u_m = 0.0
	631	c_v_m = 0.0
	632	c_w_m = 0.0
	633
[1]	634	!
[996]	635	!-- Calculate the phase speeds for u, v, and w, first local and then
	636	!-- average along the outflow boundary.
	637	DO k = nzb+1, nzt+1
	638	DO j = nys, nyn
[75]	639
[106]	640	denom = u_m_l(k,j,1) - u_m_l(k,j,2)
	641
	642	IF ( denom /= 0.0 ) THEN
[996]	643	c_u(k,j) = -c_max * ( u(k,j,1) - u_m_l(k,j,1) ) / ( denom * tsc(2) )
[107]	644	IF ( c_u(k,j) < 0.0 ) THEN
[106]	645	c_u(k,j) = 0.0
[107]	646	ELSEIF ( c_u(k,j) > c_max ) THEN
	647	c_u(k,j) = c_max
[106]	648	ENDIF
	649	ELSE
[107]	650	c_u(k,j) = c_max
[75]	651	ENDIF
	652
[106]	653	denom = v_m_l(k,j,0) - v_m_l(k,j,1)
[75]	654
[106]	655	IF ( denom /= 0.0 ) THEN
[996]	656	c_v(k,j) = -c_max * ( v(k,j,0) - v_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	657	IF ( c_v(k,j) < 0.0 ) THEN
	658	c_v(k,j) = 0.0
	659	ELSEIF ( c_v(k,j) > c_max ) THEN
	660	c_v(k,j) = c_max
	661	ENDIF
	662	ELSE
	663	c_v(k,j) = c_max
[75]	664	ENDIF
	665
[106]	666	denom = w_m_l(k,j,0) - w_m_l(k,j,1)
[75]	667
[106]	668	IF ( denom /= 0.0 ) THEN
[996]	669	c_w(k,j) = -c_max * ( w(k,j,0) - w_m_l(k,j,0) ) / ( denom * tsc(2) )
[106]	670	IF ( c_w(k,j) < 0.0 ) THEN
	671	c_w(k,j) = 0.0
	672	ELSEIF ( c_w(k,j) > c_max ) THEN
	673	c_w(k,j) = c_max
	674	ENDIF
	675	ELSE
	676	c_w(k,j) = c_max
[75]	677	ENDIF
[106]	678
[978]	679	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	680	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	681	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	682
[978]	683	ENDDO
	684	ENDDO
[75]	685
[978]	686	#if defined( __parallel )
	687	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	688	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	689	MPI_SUM, comm1dy, ierr )
	690	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	691	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	692	MPI_SUM, comm1dy, ierr )
	693	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	694	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	695	MPI_SUM, comm1dy, ierr )
	696	#else
	697	c_u_m = c_u_m_l
	698	c_v_m = c_v_m_l
	699	c_w_m = c_w_m_l
	700	#endif
	701
	702	c_u_m = c_u_m / (ny+1)
	703	c_v_m = c_v_m / (ny+1)
	704	c_w_m = c_w_m / (ny+1)
	705
[73]	706	!
[978]	707	!-- Save old timelevels for the next timestep
	708	IF ( intermediate_timestep_count == 1 ) THEN
	709	u_m_l(:,:,:) = u(:,:,1:2)
	710	v_m_l(:,:,:) = v(:,:,0:1)
	711	w_m_l(:,:,:) = w(:,:,0:1)
	712	ENDIF
	713
	714	!
	715	!-- Calculate the new velocities
[996]	716	DO k = nzb+1, nzt+1
[1113]	717	DO j = nysg, nyng
[978]	718	u_p(k,j,0) = u(k,j,0) - dt_3d * tsc(2) * c_u_m(k) * &
[106]	719	( u(k,j,0) - u(k,j,1) ) * ddx
[75]	720
[978]	721	v_p(k,j,-1) = v(k,j,-1) - dt_3d * tsc(2) * c_v_m(k) * &
[75]	722	( v(k,j,-1) - v(k,j,0) ) * ddx
	723
[978]	724	w_p(k,j,-1) = w(k,j,-1) - dt_3d * tsc(2) * c_w_m(k) * &
[75]	725	( w(k,j,-1) - w(k,j,0) ) * ddx
[978]	726	ENDDO
[75]	727	ENDDO
	728
	729	!
[978]	730	!-- Bottom boundary at the outflow
	731	IF ( ibc_uv_b == 0 ) THEN
	732	u_p(nzb,:,0) = 0.0
	733	v_p(nzb,:,-1) = 0.0
	734	ELSE
	735	u_p(nzb,:,0) = u_p(nzb+1,:,0)
	736	v_p(nzb,:,-1) = v_p(nzb+1,:,-1)
	737	ENDIF
	738	w_p(nzb,:,-1) = 0.0
[1]	739
[75]	740	!
[978]	741	!-- Top boundary at the outflow
	742	IF ( ibc_uv_t == 0 ) THEN
	743	u_p(nzt+1,:,-1) = u_init(nzt+1)
	744	v_p(nzt+1,:,-1) = v_init(nzt+1)
	745	ELSE
	746	u_p(nzt+1,:,-1) = u_p(nzt,:,-1)
	747	v_p(nzt+1,:,-1) = v_p(nzt,:,-1)
	748	ENDIF
	749	w_p(nzt:nzt+1,:,-1) = 0.0
	750
[75]	751	ENDIF
[73]	752
[75]	753	ENDIF
[73]	754
[106]	755	IF ( outflow_r ) THEN
[73]	756
[978]	757	IF ( bc_lr_dirneu ) THEN
	758	u(:,:,nx+1) = u(:,:,nx)
	759	v(:,:,nx+1) = v(:,:,nx)
	760	w(:,:,nx+1) = w(:,:,nx)
	761	ELSEIF ( bc_ns_dirrad ) THEN
[75]	762
[978]	763	c_max = dx / dt_3d
[75]	764
[978]	765	c_u_m_l = 0.0
	766	c_v_m_l = 0.0
	767	c_w_m_l = 0.0
	768
	769	c_u_m = 0.0
	770	c_v_m = 0.0
	771	c_w_m = 0.0
	772
[1]	773	!
[996]	774	!-- Calculate the phase speeds for u, v, and w, first local and then
	775	!-- average along the outflow boundary.
	776	DO k = nzb+1, nzt+1
	777	DO j = nys, nyn
[73]	778
[106]	779	denom = u_m_r(k,j,nx) - u_m_r(k,j,nx-1)
	780
	781	IF ( denom /= 0.0 ) THEN
[996]	782	c_u(k,j) = -c_max * ( u(k,j,nx) - u_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	783	IF ( c_u(k,j) < 0.0 ) THEN
	784	c_u(k,j) = 0.0
	785	ELSEIF ( c_u(k,j) > c_max ) THEN
	786	c_u(k,j) = c_max
	787	ENDIF
	788	ELSE
	789	c_u(k,j) = c_max
[73]	790	ENDIF
	791
[106]	792	denom = v_m_r(k,j,nx) - v_m_r(k,j,nx-1)
[73]	793
[106]	794	IF ( denom /= 0.0 ) THEN
[996]	795	c_v(k,j) = -c_max * ( v(k,j,nx) - v_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	796	IF ( c_v(k,j) < 0.0 ) THEN
	797	c_v(k,j) = 0.0
	798	ELSEIF ( c_v(k,j) > c_max ) THEN
	799	c_v(k,j) = c_max
	800	ENDIF
	801	ELSE
	802	c_v(k,j) = c_max
[73]	803	ENDIF
	804
[106]	805	denom = w_m_r(k,j,nx) - w_m_r(k,j,nx-1)
[73]	806
[106]	807	IF ( denom /= 0.0 ) THEN
[996]	808	c_w(k,j) = -c_max * ( w(k,j,nx) - w_m_r(k,j,nx) ) / ( denom * tsc(2) )
[106]	809	IF ( c_w(k,j) < 0.0 ) THEN
	810	c_w(k,j) = 0.0
	811	ELSEIF ( c_w(k,j) > c_max ) THEN
	812	c_w(k,j) = c_max
	813	ENDIF
	814	ELSE
	815	c_w(k,j) = c_max
[73]	816	ENDIF
[106]	817
[978]	818	c_u_m_l(k) = c_u_m_l(k) + c_u(k,j)
	819	c_v_m_l(k) = c_v_m_l(k) + c_v(k,j)
	820	c_w_m_l(k) = c_w_m_l(k) + c_w(k,j)
[106]	821
[978]	822	ENDDO
	823	ENDDO
[73]	824
[978]	825	#if defined( __parallel )
	826	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	827	CALL MPI_ALLREDUCE( c_u_m_l(nzb+1), c_u_m(nzb+1), nzt-nzb, MPI_REAL, &
	828	MPI_SUM, comm1dy, ierr )
	829	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	830	CALL MPI_ALLREDUCE( c_v_m_l(nzb+1), c_v_m(nzb+1), nzt-nzb, MPI_REAL, &
	831	MPI_SUM, comm1dy, ierr )
	832	IF ( collective_wait ) CALL MPI_BARRIER( comm1dy, ierr )
	833	CALL MPI_ALLREDUCE( c_w_m_l(nzb+1), c_w_m(nzb+1), nzt-nzb, MPI_REAL, &
	834	MPI_SUM, comm1dy, ierr )
	835	#else
	836	c_u_m = c_u_m_l
	837	c_v_m = c_v_m_l
	838	c_w_m = c_w_m_l
	839	#endif
	840
	841	c_u_m = c_u_m / (ny+1)
	842	c_v_m = c_v_m / (ny+1)
	843	c_w_m = c_w_m / (ny+1)
	844
[73]	845	!
[978]	846	!-- Save old timelevels for the next timestep
	847	IF ( intermediate_timestep_count == 1 ) THEN
	848	u_m_r(:,:,:) = u(:,:,nx-1:nx)
	849	v_m_r(:,:,:) = v(:,:,nx-1:nx)
	850	w_m_r(:,:,:) = w(:,:,nx-1:nx)
	851	ENDIF
[73]	852
[978]	853	!
	854	!-- Calculate the new velocities
[996]	855	DO k = nzb+1, nzt+1
[1113]	856	DO j = nysg, nyng
[978]	857	u_p(k,j,nx+1) = u(k,j,nx+1) - dt_3d * tsc(2) * c_u_m(k) * &
	858	( u(k,j,nx+1) - u(k,j,nx) ) * ddx
[73]	859
[978]	860	v_p(k,j,nx+1) = v(k,j,nx+1) - dt_3d * tsc(2) * c_v_m(k) * &
	861	( v(k,j,nx+1) - v(k,j,nx) ) * ddx
[73]	862
[978]	863	w_p(k,j,nx+1) = w(k,j,nx+1) - dt_3d * tsc(2) * c_w_m(k) * &
	864	( w(k,j,nx+1) - w(k,j,nx) ) * ddx
	865	ENDDO
[73]	866	ENDDO
	867
	868	!
[978]	869	!-- Bottom boundary at the outflow
	870	IF ( ibc_uv_b == 0 ) THEN
	871	u_p(nzb,:,nx+1) = 0.0
	872	v_p(nzb,:,nx+1) = 0.0
	873	ELSE
	874	u_p(nzb,:,nx+1) = u_p(nzb+1,:,nx+1)
	875	v_p(nzb,:,nx+1) = v_p(nzb+1,:,nx+1)
	876	ENDIF
	877	w_p(nzb,:,nx+1) = 0.0
[73]	878
	879	!
[978]	880	!-- Top boundary at the outflow
	881	IF ( ibc_uv_t == 0 ) THEN
	882	u_p(nzt+1,:,nx+1) = u_init(nzt+1)
	883	v_p(nzt+1,:,nx+1) = v_init(nzt+1)
	884	ELSE
	885	u_p(nzt+1,:,nx+1) = u_p(nzt,:,nx+1)
	886	v_p(nzt+1,:,nx+1) = v_p(nzt,:,nx+1)
	887	ENDIF
	888	w(nzt:nzt+1,:,nx+1) = 0.0
	889
[1]	890	ENDIF
	891
	892	ENDIF
	893
	894	END SUBROUTINE boundary_conds

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